Finding the Third Proportional to 9,922.50 and 19,527.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,922.50 : 19,527.75 = 19,527.75 : x
2. Step 2: Convert to fraction form
   9,922.50/19,527.75 = 19,527.75/x
3. Step 3: Cross multiply
   9,922.50x = 19,527.75 × 19,527.75
4. Step 4: Simplify right side
   9,922.50x = 381,333,020.06
5. Step 5: Solve for x
   x = 381,333,020.06/9,922.50
6. Step 6: Final answer
   x = 38,431.14